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22010252420 = 2251326511909
BaseRepresentation
bin10100011111111010…
…011100110010000100
32002210221011200011002
4110133322130302010
5330034111034140
614040020032432
71406302026062
oct243772346204
962727150132
1022010252420
119375239462
124323232718
1320ca001700
1410cb28d032
1588c4a6415
hex51fe9cc84

22010252420 has 36 divisors (see below), whose sum is σ = 50050540260. Its totient is φ = 8126861184.

The previous prime is 22010252417. The next prime is 22010252437. The reversal of 22010252420 is 2425201022.

It can be written as a sum of positive squares in 6 ways, for example, as 250462276 + 21759790144 = 15826^2 + 147512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22010252392 and 22010252401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3252575 + ... + 3259334.

It is an arithmetic number, because the mean of its divisors is an integer number (1390292785).

Almost surely, 222010252420 is an apocalyptic number.

22010252420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010252420 is an abundant number, since it is smaller than the sum of its proper divisors (28040287840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22010252420 is a wasteful number, since it uses less digits than its factorization.

22010252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511944 (or 6511929 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 22010252420 its reverse (2425201022), we get a palindrome (24435453442).

The spelling of 22010252420 in words is "twenty-two billion, ten million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 6511909 13023818 26047636 32559545 65119090 84654817 130238180 169309634 338619268 423274085 846548170 1100512621 1693096340 2201025242 4402050484 5502563105 11005126210 22010252420